1 results
Central limit theorems for counting measures in coarse negative curvature
- Part of
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- Journal:
- Compositio Mathematica / Volume 158 / Issue 10 / October 2022
- Published online by Cambridge University Press:
- 03 November 2022, pp. 1980-2013
- Print publication:
- October 2022
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- Article
- Export citation
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We establish central limit theorems for an action of a group
$G$ on a hyperbolic space 
$X$ with respect to the counting measure on a Cayley graph of 
$G$. Our techniques allow us to remove the usual assumptions of properness and smoothness of the space, or cocompactness of the action. We provide several applications which require our general framework, including to lengths of geodesics in geometrically finite manifolds and to intersection numbers with submanifolds.
